Nowhere differentiable functions of analytic type on products of finitely connected planar domains
Nowhere differentiable functions of analytic type on products of finitely connected planar domains
Using Laurent decomposition and Mergelyan’s theorem combined with Baire’s category theorem, we prove generic nowhere differentiability on the distinguished boundary of functions of analytic type on products of planar domains bounded by finitely many disjoint Jordan curves. The parametrization of the boundaries are those induced by the natural Riemann maps.